AdS Ellis wormholes with scalar field

TL;DR

This paper investigates spherically symmetric traversable wormholes supported by a scalar field in anti-de Sitter spacetime, revealing their massless nature, symmetry, and conditions for horizon formation.

Contribution

It introduces new solutions for AdS wormholes with scalar fields, analyzing their properties and the influence of parameters like frequency, cosmological constant, and throat size.

Findings

Wormholes remain massless and symmetric despite scalar coupling.

Finite Noether charge varies with frequency, cosmological constant, and throat size.

Approximate event horizons can form at the throat under certain conditions.

Abstract

In this paper, we study the spherically symmetric traversable wormholes with a scalar field supported by a phantom field in the anti-de Sitter (AdS) asymptotic spacetime. Despite coupling the scalar matter field, these wormholes remain massless and symmetric for reflection of the radial coordinate $r \rightarrow -r$. The solution possesses a finite Noether charge $Q$, which varies as a function of frequency $\omega$ with changes in the cosmological constant $\Lambda$ and the throat size $r_0$. Under specific conditions, an approximate ``event horizon'' will appear at the throat.